#### Solution for 202 is what percent of 460:

202:460*100 =

(202*100):460 =

20200:460 = 43.91

Now we have: 202 is what percent of 460 = 43.91

Question: 202 is what percent of 460?

Percentage solution with steps:

Step 1: We make the assumption that 460 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={460}.

Step 4: In the same vein, {x\%}={202}.

Step 5: This gives us a pair of simple equations:

{100\%}={460}(1).

{x\%}={202}(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{460}{202}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{202}{460}

\Rightarrow{x} = {43.91\%}

Therefore, {202} is {43.91\%} of {460}.

#### Solution for 460 is what percent of 202:

460:202*100 =

(460*100):202 =

46000:202 = 227.72

Now we have: 460 is what percent of 202 = 227.72

Question: 460 is what percent of 202?

Percentage solution with steps:

Step 1: We make the assumption that 202 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={202}.

Step 4: In the same vein, {x\%}={460}.

Step 5: This gives us a pair of simple equations:

{100\%}={202}(1).

{x\%}={460}(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{202}{460}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{460}{202}

\Rightarrow{x} = {227.72\%}

Therefore, {460} is {227.72\%} of {202}.

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